[PDF][PDF] On Generating Matrices of the k-Pell, k-Pell-Lucas and Modified k-Pell Sequences

P Catarino - Pure Mathematical Sciences, 2014 - m-hikari.com
On Generating Matrices of the k-Pell, k-Pell-Lucas and Modified k-Pell Sequences Page 1
Pure Mathematical Sciences, Vol. 3, 2014, no. 2, 71 - 77 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/pms.2014.411 …

[PDF][PDF] A note involving two-by-two matrices of the k-Pell and k-Pell-Lucas sequences

P Catarino, P Vasco - International Mathematical Forum, 2013 - academia.edu
A Note Involving Two-by-Two Matrices of the k-Pell and k-Pell-Lucas Sequences Page 1
International Mathematical Forum, Vol. 8, 2013, no. 32, 1561 - 1568 HIKARI Ltd, www.m-hikari.com …

[PDF][PDF] Modified k-Pell sequence: Some identities and ordinary generating function

P Catarino, P Vasco - Appl. Math. Sci, 2013 - m-hikari.com
Some identities of the k-Pell-Lucas sequence and their relationship to the Modified k-Pell
sequence allow us to obtain some identities for Modified k-Pell numbers. Also the ordinary …

[PDF][PDF] Some basic properties and a two-by-two matrix involving the k-Pell Numbers

P Catarino, P Vasco - Int. J. Math. Anal.(Ruse), 2013 - m-hikari.com
In this paper we consider the k-Pell numbers sequence and present some properties
involving the k-Pell numbers. The theoretical basis of using generating matrices for deriving …

[HTML][HTML] On the (s, t)-Pell and (s, t)-Pell–Lucas sequences and their matrix representations

HH Gulec, N Taskara - Applied Mathematics Letters, 2012 - Elsevier
In this paper, we first give new generalizations for (s, t)-Pell [Formula: see text] and (s, t)-Pell
Lucas [Formula: see text] sequences for Pell and Pell–Lucas numbers. Considering these …

[PDF][PDF] The generalized order-m (k-Pell) numbers

P Catarino, P Vasco - An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat.(NS), 2020 - math.uaic.ro
Considering the usual k-Pell numbers we define a new sequence which is called
Generalized order-m (k-Pell) sequence. Some properties of this sequence and a formula for …

[PDF][PDF] On some identities and generating functions for k-Pell-Lucas sequence

P Catarino, P Vasco - Applied Mathematical Sciences, 2013 - m-hikari.com
We obtain the Binet's formula for k-Pell-Lucas numbers and as a consequence we obtain
some properties for k-Pell-Lucas numbers. Also we give the generating function for the k …

A note on k-Pell, k-Pell-Lucas and Modified k-Pell numbers with arithmetic indexes

PMMC Catarino, H Campos… - Acta Mathematica …, 2019 - iam.fmph.uniba.sk
97 A NOTE ON k-PELL, k-PELL-LUCAS AND MODIFIED k-PELL NUMBERS WITH
ARITHMETIC INDEXES 1. Introduction In this paper, we consider Page 1 Acta Math. Univ …

k-Pell, k-Pell-Lucas and modified k-Pell numbers: Some identities and norms of Hankel matrices

P Vasco, P Catarino, H Campos, AP Aires, A Borges - 2015 - repositorio.utad.pt
k-Pell, k-Pell-Lucas and Modified k-Pell Numbers: Some Identities and Norms of Hankel
Matrices Page 1 International Journal of Mathematical Analysis Vol. 9, 2015, no. 1, 31 - 37 …

[PDF][PDF] On some identities and generating functions for k-Pell numbers

P Catarino - Int. J. Math. Anal.(Ruse), 2013 - academia.edu
We obtain the Binet's formula for k-Pell numbers and as a consequence we get some
properties for k-Pell numbers. Also we give the generating function for k-Pell sequences and …